6(5-4h^0)=3(4h-2)-7(6+8h)

Solution for 6(5-4h^0)=3(4h-2)-7(6+8h) equation:

Simplifying
6(5 + -4h0) = 3(4h + -2) + -7(6 + 8h)

Combine like terms: 5 + -4 = 1
6(1) = 3(4h + -2) + -7(6 + 8h)

Remove parenthesis around (1)
6 * 1 = 3(4h + -2) + -7(6 + 8h)

Multiply 6 * 1
6 = 3(4h + -2) + -7(6 + 8h)

Reorder the terms:
6 = 3(-2 + 4h) + -7(6 + 8h)
6 = (-2 * 3 + 4h * 3) + -7(6 + 8h)
6 = (-6 + 12h) + -7(6 + 8h)
6 = -6 + 12h + (6 * -7 + 8h * -7)
6 = -6 + 12h + (-42 + -56h)

Reorder the terms:
6 = -6 + -42 + 12h + -56h

Combine like terms: -6 + -42 = -48
6 = -48 + 12h + -56h

Combine like terms: 12h + -56h = -44h
6 = -48 + -44h

Solving
6 = -48 + -44h

Solving for variable 'h'.

Move all terms containing h to the left, all other terms to the right.

Add '44h' to each side of the equation.
6 + 44h = -48 + -44h + 44h

Combine like terms: -44h + 44h = 0
6 + 44h = -48 + 0
6 + 44h = -48

Add '-6' to each side of the equation.
6 + -6 + 44h = -48 + -6

Combine like terms: 6 + -6 = 0
0 + 44h = -48 + -6
44h = -48 + -6

Combine like terms: -48 + -6 = -54
44h = -54

Divide each side by '44'.
h = -1.227272727

Simplifying
h = -1.227272727